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Finding the Fourth Proportional to 457,367.61, 686,679.84 and 232,878.90

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Solution

The fourth proportional to 457,367.61, 686,679.84 and 232,878.90 is: 349,638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,367.61 : 686,679.84 = 232,878.90 : x
  2. Step 2: Convert to fraction form
    457,367.61/686,679.84 = 232,878.90/x
  3. Step 3: Cross multiply
    457,367.61x = 686,679.84 × 232,878.90
  4. Step 4: Simplify right side
    457,367.61x = 159,913,245,791.38
  5. Step 5: Solve for x
    x = 159,913,245,791.38/457,367.61
  6. Step 6: Final answer
    x = 349,638.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.